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Finding the Third Proportional to 301,672.69 and 467,408.81

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Solution

The third proportional to 301,672.69 and 467,408.81 is: 724,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,672.69 : 467,408.81 = 467,408.81 : x
  2. Step 2: Convert to fraction form
    301,672.69/467,408.81 = 467,408.81/x
  3. Step 3: Cross multiply
    301,672.69x = 467,408.81 × 467,408.81
  4. Step 4: Simplify right side
    301,672.69x = 218,470,998,002.66
  5. Step 5: Solve for x
    x = 218,470,998,002.66/301,672.69
  6. Step 6: Final answer
    x = 724,198.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.